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arXiv 1009.5239hep-ph
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一个有效的手征强子-夸克状态方程

An effective chiral Hadron-Quark Equation of State

J. Steinheimer, S. Schramm, H. Stöcker

摘要:

考虑到手征对称性恢复和退禁闭相变,我们构造了一个有效的QCD状态方程模型。正确的渐近自由度在高温和低温极限包括(夸克$\leftrightarrow$强子)。该模型显示了快速交叉的两个序参量,从晶格计算的预期。然后,我们比较的热力学性质的模型在$μ_B=0$,原来是在定性协议与晶格数据,而明显的定量差异可以归因于强子的贡献和排除体积校正。此外,我们还讨论了有限重子数密度下的排斥矢量型夸克相互作用对模型相图的影响。我们目前的模型是能够重现一级液-气相变的预期,但没有表现出任何迹象的一级解除禁闭或手性相变。这两种转变,而出现作为一个非常广泛的交叉,其中重介质修改强子与自由夸克共存。

英文摘要:

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits are included (quarks $\leftrightarrow$ hadrons). The model shows a rapid crossover for both order parameters, as is expected from lattice calculations. We then compare the thermodynamic properties of the model at $μ_B=0$ which turn out to be in qualitative agreement with lattice data, while apparent quantitative differences can be attributed to hadronic contributions and excluded volume corrections. Furthermore we discuss the effects of a repulsive vector type quark interaction at finite baryon number densities on the resulting phase diagram of the model. Our current model is able to reproduce a first-order liquid gas phase transition as expected, but does not show any signs of a first order deconfinement or chiral phase transition. Both transitions rather appear as a very wide crossover in which heavily medium modified hadron coexist with free quarks.

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